Question

write a C programming code for the following prompt. please use stucture concept and test if the code works perfectly.

Project Description: In this project, you will write a program to calculate the roots of a quadratic equation. Structure concepts will be used in this project. Your program will prompt the user to enter the coefficients of a quadra coefficientsType. Then it will compute the roots of the quadratic equation and store the result in a structure variable of type rootsType. At the end, your progranm displays the result as well as informative messages (real roots or complex roots). tic equation and store them in a structure variable of type Two functions are required in this program: 1. A function to compute the roots. It takes the coefficients of a quadratic equation (coefficientsType) and returns the roots (rootsType). Required function prototype is: rootsType computeRoots (coefficientsType) Display function: displays the roots. Required function prototype is: void displayRoots (rootsType) ; 2. Two structure date types are required: 1. coefficientsType: Three members: a, b, and c (double type) represent coefficients of a quadratic equation, ax2 + bx + c 0, Your program will check for invalid coefficients. In addition, coefficient a must be a nonzero number. 2. rootsType: Three members: realRoots, rootl, and root2 (double type) (a) realRoots -0, if the roots of the quadratic equation are not real. rootl is the real part of the complex roots, and root2 is the positive imaginary part of the complex roots. So the complex roots can be expressed as rl rootl + root2 i r2 rootl - root2 i realRoots root2 are the two real roots of the quadratic equation. (b) -1, ifthe roots ofthe quadratic equation are real. root! and

Answer 1

Given below is the code for the question.
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#include <stdio.h>
#include <math.h>
typedef struct {
   double a;
   double b;
   double c;
}coefficientType;

typedef struct {
   double realRoots;
   double root1;
   double root2;
} rootsType;

rootsType computeRoots(coefficientType coeff);
void displayRoots(rootsType roots);

int main(){
   coefficientType coeff;
   rootsType roots;
  
   printf("Enter the coffiecients of the quadratic equation: \n");
  
   do{
       printf("a: ");
       scanf("%lf", &coeff.a);
   }while(coeff.a == 0);
  
   printf("b: ");
   scanf("%lf", &coeff.b);
  
   printf("c: ");
   scanf("%lf", &coeff.c);
  
   roots = computeRoots(coeff);
   displayRoots(roots);

}

rootsType computeRoots(coefficientType coeff){
   double D = coeff.b * coeff.b - 4 * coeff.a * coeff.c;
   rootsType roots;
  
   if(D < 0){
       roots.realRoots = 0;
       D = -D;
       roots.root1 = -coeff.b/(2*coeff.a);
       roots.root2 = sqrt(D)/ (2*coeff.a);
   }
   else{
       roots.realRoots = 1;
       roots.root1 = (-coeff.b + sqrt(D))/(2*coeff.a);
       roots.root2 = (-coeff.b - sqrt(D))/(2*coeff.a);
   }
   return roots;
}

void displayRoots(rootsType roots){
   if(roots.realRoots == 1){
       printf("The equation has real roots\n");
       printf("Root1: %.4lf\n", roots.root1);
       printf("Root2: %.4lf\n", roots.root2);
   }
   else{
       printf("The equation has complex roots\n");
       printf("Root1: %.4lf + %.4lf i\n", roots.root1, roots.root2);
       printf("Root2: %.4lf - %.4lf i\n", roots.root1, roots.root2);
   }
  
}

amoeba-2:Test2 rajis ./a.out Enter the coffiecients of the quadratic equation: a: 2 b: 8 C: 3 The equation has real roots Root!: -0.4189 Root2: -3.5811 amoeba-2:Test2 rajis ./a.out Enter the coffiecients of the quadratic equation: b: 4 c: 5 The equation has complex roots Root!: -2.0000 + 1.0000 i Root2: -2.0000 - 1.0000 i